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Pregled bibliografske jedinice broj: 546032

Full compressible Navier-Stokes equations for quantum fluids : derivation and numerical solution

Juengel, Ansgar; Milišić, Josipa Pina
Full compressible Navier-Stokes equations for quantum fluids : derivation and numerical solution // Kinetic and Related Models, 4 (2011), 3; 785-807 doi:10.3934/krm.2011.4.785 (međunarodna recenzija, članak, znanstveni)

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Naslov
Full compressible Navier-Stokes equations for quantum fluids : derivation and numerical solution

Autori
Juengel, Ansgar ; Milišić, Josipa Pina

Izvornik
Kinetic and Related Models (1937-5093) 4 (2011), 3; 785-807

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Quantum Navier-Stokes equations; density-dependent viscosity; Chapman-Enskog expansion; finite differences; tunneling diode; semiconductors.

Sažetak
Navier-Stokes equations for compressible quantum fluids, including the energy equation, are derived from a collisional Wigner equation, using the quantum entropy maximization method of Degond and Ringhofer. The viscous corrections are obtained from a Chapman-Enskog expansion around the quantum equilibrium distribution and correspond to the classical viscous stress tensor with particular viscosity coefficients depending on the particle density and temperature. The energy and entropy dissipations are computed and discussed. Numerical simulations of a one-dimensional tunneling diode show the stabilizing effect of the viscous correction and the impact of the relaxation terms on the current-voltage charcteristics.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
036-0361621-1291 - Nelinearna analiza diferencijalnih jednadžbi i dinamičkih sustava (Pašić, Mervan, MZO ) ( CroRIS)

Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb

Profili:

Avatar Url Josipa-Pina Milišić (autor)

Poveznice na cjeloviti tekst rada:

doi aimsciences.org

Citiraj ovu publikaciju:

Juengel, Ansgar; Milišić, Josipa Pina
Full compressible Navier-Stokes equations for quantum fluids : derivation and numerical solution // Kinetic and Related Models, 4 (2011), 3; 785-807 doi:10.3934/krm.2011.4.785 (međunarodna recenzija, članak, znanstveni)
Juengel, A. & Milišić, J. (2011) Full compressible Navier-Stokes equations for quantum fluids : derivation and numerical solution. Kinetic and Related Models, 4 (3), 785-807 doi:10.3934/krm.2011.4.785.
@article{article, author = {Juengel, Ansgar and Mili\v{s}i\'{c}, Josipa Pina}, year = {2011}, pages = {785-807}, DOI = {10.3934/krm.2011.4.785}, keywords = {Quantum Navier-Stokes equations, density-dependent viscosity, Chapman-Enskog expansion, finite differences, tunneling diode, semiconductors.}, journal = {Kinetic and Related Models}, doi = {10.3934/krm.2011.4.785}, volume = {4}, number = {3}, issn = {1937-5093}, title = {Full compressible Navier-Stokes equations for quantum fluids : derivation and numerical solution}, keyword = {Quantum Navier-Stokes equations, density-dependent viscosity, Chapman-Enskog expansion, finite differences, tunneling diode, semiconductors.} }
@article{article, author = {Juengel, Ansgar and Mili\v{s}i\'{c}, Josipa Pina}, year = {2011}, pages = {785-807}, DOI = {10.3934/krm.2011.4.785}, keywords = {Quantum Navier-Stokes equations, density-dependent viscosity, Chapman-Enskog expansion, finite differences, tunneling diode, semiconductors.}, journal = {Kinetic and Related Models}, doi = {10.3934/krm.2011.4.785}, volume = {4}, number = {3}, issn = {1937-5093}, title = {Full compressible Navier-Stokes equations for quantum fluids : derivation and numerical solution}, keyword = {Quantum Navier-Stokes equations, density-dependent viscosity, Chapman-Enskog expansion, finite differences, tunneling diode, semiconductors.} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

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